{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4N7UDGLY7AP4V2OLDUNHYIMDZD","short_pith_number":"pith:4N7UDGLY","canonical_record":{"source":{"id":"2507.15344","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-21T07:58:06Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"49559b14a3c932186a3059e912da51d3965285f403aadc242dae2f1230f435b5","abstract_canon_sha256":"719ad9723e28ea33c71bb80079b0c3ef06c159b95f1c668500139ffeef76f0fd"},"schema_version":"1.0"},"canonical_sha256":"e37f419978f81fcae9cb1d1a7c2183c8e24d147fbe2f165d3eb81f7a6f9f1206","source":{"kind":"arxiv","id":"2507.15344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15344","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15344v1","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15344","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"4N7UDGLY7AP4","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"pith_short_16","alias_value":"4N7UDGLY7AP4V2OL","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"pith_short_8","alias_value":"4N7UDGLY","created_at":"2026-07-05T11:40:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4N7UDGLY7AP4V2OLDUNHYIMDZD","target":"record","payload":{"canonical_record":{"source":{"id":"2507.15344","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-21T07:58:06Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"49559b14a3c932186a3059e912da51d3965285f403aadc242dae2f1230f435b5","abstract_canon_sha256":"719ad9723e28ea33c71bb80079b0c3ef06c159b95f1c668500139ffeef76f0fd"},"schema_version":"1.0"},"canonical_sha256":"e37f419978f81fcae9cb1d1a7c2183c8e24d147fbe2f165d3eb81f7a6f9f1206","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:40:23.037490Z","signature_b64":"f5RQZ7fSwC2iucLXppzPtERbOsmgkpvFtK2s9HNxi1jPU1D/bL7WXjoDGqQGcuyTxpgEH+7bM0OCEsjOwILMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e37f419978f81fcae9cb1d1a7c2183c8e24d147fbe2f165d3eb81f7a6f9f1206","last_reissued_at":"2026-07-05T11:40:23.036748Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:40:23.036748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.15344","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:40:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UAiDH9tYesNNv/hQayoKPeQFk8IETTy7uv8InsqK6qXF7D+4AA84CFu9Rii/6uygRy1tquqJNGdvzcNuY+FoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:24:23.373466Z"},"content_sha256":"d5601a51eb9fc5564702d3eba38812050a12458e098da5ab60f8e503b7682ec2","schema_version":"1.0","event_id":"sha256:d5601a51eb9fc5564702d3eba38812050a12458e098da5ab60f8e503b7682ec2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4N7UDGLY7AP4V2OLDUNHYIMDZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"RoCoF Constrained Regional Inertia Security Region: Formulation and Application","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Cheng Wang, Jiahao Liu, Tianshu Bi","submitted_at":"2025-07-21T07:58:06Z","abstract_excerpt":"The regional inertia, which determines the regional rate of change of frequency (RoCoF), should be kept in a secure status in renewable-penetrated power systems. To break away from mapping the regional maximum RoCoF with regional inertia in a linearized form, this paper comprehensively studies the regional inertia security problem from formulation to applications. Firstly, the regional inertia security region (R-ISR) is defined, whose boundary is non-linear and non-convex. Then, a local linearized method is devised to calculate the global maximum of regional RoCoF. The non-convex ISR boundary "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15344","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.15344/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:40:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LDSSXjK6A0oq59cRWFfkbZP5DdcWMwPIfS4MvVwB9KfGpguvcU62semdpuLX2GeLwerh13q18qM9ZheVMgbzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T00:24:23.373964Z"},"content_sha256":"cbb7a98b95749d13a9194f3df4220c16efed07e8340c43b09fb88763c3fc6faa","schema_version":"1.0","event_id":"sha256:cbb7a98b95749d13a9194f3df4220c16efed07e8340c43b09fb88763c3fc6faa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD/bundle.json","state_url":"https://pith.science/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T00:24:23Z","links":{"resolver":"https://pith.science/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD","bundle":"https://pith.science/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD/bundle.json","state":"https://pith.science/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4N7UDGLY7AP4V2OLDUNHYIMDZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4N7UDGLY7AP4V2OLDUNHYIMDZD","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"719ad9723e28ea33c71bb80079b0c3ef06c159b95f1c668500139ffeef76f0fd","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-21T07:58:06Z","title_canon_sha256":"49559b14a3c932186a3059e912da51d3965285f403aadc242dae2f1230f435b5"},"schema_version":"1.0","source":{"id":"2507.15344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.15344","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"arxiv_version","alias_value":"2507.15344v1","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.15344","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"pith_short_12","alias_value":"4N7UDGLY7AP4","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"pith_short_16","alias_value":"4N7UDGLY7AP4V2OL","created_at":"2026-07-05T11:40:23Z"},{"alias_kind":"pith_short_8","alias_value":"4N7UDGLY","created_at":"2026-07-05T11:40:23Z"}],"graph_snapshots":[{"event_id":"sha256:cbb7a98b95749d13a9194f3df4220c16efed07e8340c43b09fb88763c3fc6faa","target":"graph","created_at":"2026-07-05T11:40:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.15344/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The regional inertia, which determines the regional rate of change of frequency (RoCoF), should be kept in a secure status in renewable-penetrated power systems. To break away from mapping the regional maximum RoCoF with regional inertia in a linearized form, this paper comprehensively studies the regional inertia security problem from formulation to applications. Firstly, the regional inertia security region (R-ISR) is defined, whose boundary is non-linear and non-convex. Then, a local linearized method is devised to calculate the global maximum of regional RoCoF. The non-convex ISR boundary ","authors_text":"Cheng Wang, Jiahao Liu, Tianshu Bi","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-21T07:58:06Z","title":"RoCoF Constrained Regional Inertia Security Region: Formulation and Application"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.15344","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d5601a51eb9fc5564702d3eba38812050a12458e098da5ab60f8e503b7682ec2","target":"record","created_at":"2026-07-05T11:40:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"719ad9723e28ea33c71bb80079b0c3ef06c159b95f1c668500139ffeef76f0fd","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2025-07-21T07:58:06Z","title_canon_sha256":"49559b14a3c932186a3059e912da51d3965285f403aadc242dae2f1230f435b5"},"schema_version":"1.0","source":{"id":"2507.15344","kind":"arxiv","version":1}},"canonical_sha256":"e37f419978f81fcae9cb1d1a7c2183c8e24d147fbe2f165d3eb81f7a6f9f1206","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e37f419978f81fcae9cb1d1a7c2183c8e24d147fbe2f165d3eb81f7a6f9f1206","first_computed_at":"2026-07-05T11:40:23.036748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:40:23.036748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f5RQZ7fSwC2iucLXppzPtERbOsmgkpvFtK2s9HNxi1jPU1D/bL7WXjoDGqQGcuyTxpgEH+7bM0OCEsjOwILMDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:40:23.037490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.15344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5601a51eb9fc5564702d3eba38812050a12458e098da5ab60f8e503b7682ec2","sha256:cbb7a98b95749d13a9194f3df4220c16efed07e8340c43b09fb88763c3fc6faa"],"state_sha256":"80278f9acd723bf90385806f553076129d83fad45c18f353879bfeb8e03c1188"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMmPnNtMD7FjrVFcydNUAzq2cySIEE9z49UQUKsJiMdfGGw5WWisg/2J9oxHJJxMscVfE2g7nb2fyKocjtnGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T00:24:23.377296Z","bundle_sha256":"8c799aa9eb4fd3d398a6b77a316bf6a3c7be20de319d880381bb50f60247934c"}}